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June 19, 2012, 03:27 |
TVD algorithms
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#1 |
New Member
Aniket Sachdeva
Join Date: Mar 2012
Posts: 22
Rep Power: 14 |
It is said that a numerical algorithm must be Total Variation Diminishing type to prevent the occurence of numerical oscillations around discontinuities like shock waves. But should not the total variation remain large enough around a shock to capture it sharply? If we try to diminish the total variation will it not make the solution diffusive??
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June 19, 2012, 03:29 |
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#2 |
Senior Member
cfdnewbie
Join Date: Mar 2010
Posts: 557
Rep Power: 20 |
The short answer is: Yes. They are dissipative, that's the price to pay for stability.
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